## Statistics 3

- Introduce your scenario and data set.

- Provide a brief overview of the scenario you are given above and the data set that you will be analyzing.
- Classify the variables in your data set.
- Which variables are quantitative/qualitative?
- Which variables are discrete/continuous?
- Describe the level of measurement for each variable included in your data set.

- Discuss the importance of the Measures of Center and the Measures of Variation.
- What are the measures of center and why are they important?
- What are the measures of variation and why are they important?

- Calculate the measures of center and measures of variation. Interpret your results in context of the selected topic.
- Mean
- Median
- Mode
- Midrange
- Range
- Variance
- Standard Deviation

- Discuss the importance of constructing confidence intervals for the population mean.
- What are confidence intervals?
- What is a point estimate?
- What is the best point estimate for the population mean? Explain.
- Why do we need confidence intervals?

- Based on your selected topic, evaluate the following:
- Find the best point estimate of the population mean.
- Construct a
confidence interval for the population mean. Assume that your data is normally distributed and is unknown.**95%**- Please show your work for the construction of this confidence interval and be sure to use the Equation Editor to format your equations.

- Write a statement that correctly interprets the confidence interval in context of your selected topic.

- Based on your selected topic, evaluate the following:
- Find the best point estimate of the population mean.
- Construct a
confidence interval for the population mean. Assume that your data is normally distributed and is unknown.**99%**- Please show your work for the construction of this confidence interval and be sure to use the Equation Editor to format your equations.

- Write a statement that correctly interprets the confidence interval in context of your selected topic.
- Compare and contrast your findings for the 95% and 99% confidence interval.
- Did you notice any changes in your interval estimate? Explain.
- What conclusion(s) can be drawn about your interval estimates when the confidence level is increased? Explain.

- Discuss the process for hypothesis testing.
- Discuss the 8 steps of hypothesis testing?
- When performing the 8 steps for hypothesis testing, which method do you prefer; P-Value method or Critical Value method? Why?

- Perform the hypothesis test.
**If you selected Option 1**:: The average salary for all jobs in Georgia is less than $65,000.**Original Claim**- Test the claim using = 0.05 and assume your data is normally distributed and is unknown.

**If you selected Option 2:**: The average age of all patients admitted to the hospital with infectious diseases is less than 65 years of age.**Original Claim**- Test the claim using = 0.05 and assume your data is normally distributed and is unknown.

- Based on your selected topic, answer the following:
- Write the null and alternative hypothesis symbolically and identify which hypothesis is the claim.
- Is the test two-tailed, left-tailed, or right-tailed? Explain.
- Which test statistic will you use for your hypothesis test; z-test or t-test? Explain.
- What is the value of the test-statistic? What is the P-value?

What is the critical value? - What is your decision; reject the null or do not reject the null?
- Explain why you made your decision including the results for your p-value and the critical value.

- State the final conclusion in non-technical terms.

- Conclusion
- Recap your ideas by summarizing the information presented in context of your chosen scenario.